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Simplifying 2(4z + -2) = -9(5 + -1z) Reorder the terms: 2(-2 + 4z) = -9(5 + -1z) (-2 * 2 + 4z * 2) = -9(5 + -1z) (-4 + 8z) = -9(5 + -1z) -4 + 8z = (5 * -9 + -1z * -9) -4 + 8z = (-45 + 9z) Solving -4 + 8z = -45 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -4 + 8z + -9z = -45 + 9z + -9z Combine like terms: 8z + -9z = -1z -4 + -1z = -45 + 9z + -9z Combine like terms: 9z + -9z = 0 -4 + -1z = -45 + 0 -4 + -1z = -45 Add '4' to each side of the equation. -4 + 4 + -1z = -45 + 4 Combine like terms: -4 + 4 = 0 0 + -1z = -45 + 4 -1z = -45 + 4 Combine like terms: -45 + 4 = -41 -1z = -41 Divide each side by '-1'. z = 41 Simplifying z = 41
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